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avanturin [10]
2 years ago
12

Don works in home construction. He determined that the function t(A)=144A/9.252 gives the total number of 9 in. tiles needed to

cover an area of A square feet, when spacing the tiles a quarter inch apart. Find t(400) and explain what it means.
Mathematics
1 answer:
Oksanka [162]2 years ago
6 0

Answer:

6,226 tiles of 9 in are needed to cover an area of 400 square feet

Step-by-step explanation:

Let

A -----> an area in square feet

t(A) ---> the total number of 9 in. tiles needed

we have

t(A)=\frac{144A}{9.252}

For A=400 ft^2

substitute in the equation and solve for t

t(400)=\frac{144(400)}{9.252}

t(400)=6,226\ tiles

That means -----> 6,226 tiles of 9 in are needed to cover an area of 400 square feet

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If a line of one billion people standing shoulder to shoulder stretches 420,334 miles what is the average shoulder width in feet
V125BC [204]

Answer:

2.21936352 feet

Step-by-step explanation:

420334*5280 (thats feet in a mile) divided by 1000000000

5 0
2 years ago
Read 2 more answers
Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish cost $.20 per p
julsineya [31]

Answer:

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.66

Step-by-step explanation:

Let us assume the cost of 1 pound salmon = $ m

So the cost of 1 pound of 1 pound swordfish cat = $ ( m - 0.20)

Now, the Amount of salmon purchased  = 2 1/2 pounds

2\frac{1}{2}  = 2 + \frac{1}{2} = 2 + 0.5 = 2.5

So, the amount of salmon purchased = 2.5 pounds

Cost of buying 2.5 pounds = 2.5 x ( 1 pound cost)

= 2.5 ( m) = $ 2.5 m  ...... (1)

Also, the Amount of swordfish purchased  = 1 1/4 pounds

1\frac{1}{4}  = 1 + \frac{1}{4} = 1 + 0.25 = 1.25

So, the amount of swordfish purchased = 1.25 pounds

Cost of buying 1.25 pounds = 1.25 x ( 1 pound cost of swordfish)

= 1.25 ( m - 0.20) = $ 1.25 m - 0.25       .... (2)

Now, the combined cost paid  = $ 31.25

⇒Cost of buying (2.5 pounds salmon  +  1.25 pounds swordfish) = $ 31.25

or, 2.5 m +   1.25 m - 0.25  = 31.35       (from (1) and (2))

or, 3.75 m = 31.60

or, m = 31.60/3.75 =  8.43

⇒ m = $8.43

So, the cost of 1 pound salmon = m = $8.43

and the cost of 1 pound swordfish = m - 0.20 = $8.43 - 0.20 = $ 8.23

Hence, the combined cost  1 pound of salmon and 1 pound of swordfish = $8.43 + $ 8.23 =  $ 16.66

6 0
3 years ago
What is an equation of the line that passes through the point (2,−6) and is parallel to the line x-2y=8
lana [24]

Answer:

y=\frac{1}{2}x-7, or x-2y=14

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8

First, we need to find the slope of x-2y=8, since parallel lines have the same slopes

We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line

Start by subtracting x from both sides

-2y=-x+8

Divide both sides by -2

y=\frac{1}{2}x-4

The slope of the line x-2y=8 is 1/2

It's also the slope of the line parallel to it.

Since we know the slope of the line, we can plug it into the equation for slope intercept form:

y=\frac{1}{2}x+b

Now we need to find b.

As the equation of the line passes through (2, -6), we can use it to help solve for b

Substitute -6 as y and 2 as x:

-6=\frac{1}{2}(2)+b

Multiply

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-7=b

Substitute -7 as b into the equation:

y=\frac{1}{2}x-7

The equation can be left as that, or you can convert it into standard form if you wish.

In that case, you will need to move 1/2x to the other side:

-\frac{1}{2}x+y=-7

A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).

So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a

x-2y=14

Hope this helps!

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kifflom [539]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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7 0
2 years ago
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